About the naturality of Beattie's decomposition theorem with respect to a change of Hopf algebras

  1. J.N. Alonso Álvarez 2
  2. J.M. Fernández Vilaboa 1
  3. R. González Rodríguez 2
  4. E. Villanueva Novoa 1
  1. 1 Universidade de Santiago de Compostela
    info

    Universidade de Santiago de Compostela

    Santiago de Compostela, España

    ROR https://ror.org/030eybx10

  2. 2 Universidade de Vigo
    info

    Universidade de Vigo

    Vigo, España

    ROR https://ror.org/05rdf8595

Journal:
Cahiers de Topologie et Géométrie Différentielle Catégoriques

ISSN: 1245-530X 2681-2363

Year of publication: 2002

Volume: 43

Issue: 1

Pages: 2-18

Type: Article

More publications in: Cahiers de Topologie et Géométrie Différentielle Catégoriques

Bibliographic References

  • [1] Alonso Alvarez, J.N. & Fernández Vilaboa, J.M., Inner actions and Galois H-objects in a closed symmetric category, Cahiers de Topologie et Geometrie Differentielle categoriques, XXXV-1 (1994), 271-284.
  • [2] Bass, M., Algebraic K-Theory, Benjamin, New York (1968).
  • [3] Beattie, M., A direct sum decomposition for the Brauer group of H-module algebras, J. Algebra, 43 (1976), 686-693.
  • [4] Caenepeel, S., Brauer groups, Hopf algebras and Galois theory, Kluwer Academic Publishers (1998).
  • [5] Chase, S.U. & Sweedler, M.E., Hopf algebras and Galois theory, Lect. Notes in Math., 97 (1969).
  • [6] Eilenberg, S. & Kelly, G.M., Closed Categories, Proceedings in a Conference on Categorical Algebra, La Jolla 1966, Springer Verlag, Berlin (1966), 421-562.
  • [7] Fernández Vilaboa, J.M., Grupos de Brauer y de Galois de un Algebra de Hopf en una categoría cerrada, Alxebra 42, Santiago de Compostela (1985).
  • [8] Fernández Vilaboa, J.M., González Rodríguez, R. & Villa-Nueva Novoa, E., Exact sequences for the Galois group, Comm. in Algebra 24(11) (1996), 3413-3435.
  • [9] López López, M.P., Objetos de Galois sobre un algebra de Hopf finita, Alxebra 25, Santiago de Compostela (1980).
  • [10] Pareigis B., Non Additive Ring and Module Theory IV: The Brauer Group of a Symmetric Monoidal Category, Lecture Notes in Math. 549, Springer Verlag, New York (1976), 112-133.
  • [11] Wenninger, C.H., Corestriction of Galois algebras, J. Algebra 144 (1991), 359-370